The spectral peak-fitting function introduced by L'Hoir, has been foun
d to provide adequate definition of the peaks encountered in the energ
y spectrum of alpha-particle emissions. Recently, the use of a Simplex
algorithm has enabled the simultaneous fitting of several peaks to yi
eld revised estimates of the emission probabilities for Pu-239. A simi
lar procedure has now been applied to alpha-particle spectra obtained
from a thin source of Am-241 using a high-resolution Si detector. The
values obtained for the emission probabilities are compared to those t
abulated in the literature and the associated uncertainties are discus
sed in some detail.